667003320 has 192 divisors, whose sum is σ = 2246400000. Its totient is φ = 171535104.

The previous prime is 667003307. The next prime is 667003321. The reversal of 667003320 is 23300766.

667003320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667003321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1336431 + ... + 1336929.

It is an arithmetic number, because the mean of its divisors is an integer number (11700000).

Almost surely, 2^667003320 is an apocalyptic number.

667003320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123200000).

667003320 is an abundant number, since it is smaller than the sum of its proper divisors (1579396680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

667003320 is a wasteful number, since it uses less digits than its factorization.

667003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 667003320 is about 25826.4074156666. The cubic root of 667003320 is about 873.7274868790.

The spelling of 667003320 in words is "six hundred sixty-seven million, three thousand, three hundred twenty".